Figure 6 shows the evolution of the relaxation modulus with respect to the elapsed time after a sudden step shear strain where the amplitude of the strain was varied from linear to nonlinear viscoelasticity
The topics include the structure of polymers, polymerization reactions and processes, linear viscoelasticity: behavior of molten polymers, tube models for linear polymers: fundamentals and advanced topics, and tube models for the nonlinear viscoelasticity
of linear and branched polymers.
Hansen's team at Novo Nordisk is now using the "parallel rheological framework" methodology available in Abaqus to model polymers' nonlinear viscoelasticity
with greater accuracy than before.
The variable order differentials are an important tool to study some systems such as the control of nonlinear viscoelasticity
oscillator (for more details see [17-19] and the references cited therein), where the order changes with respect to a parameter or more parameters.
The chapters sequentially discuss the structure of polymers, polymerization reactions and processes, linear viscoelasticity, tube models for linear polymers, determination of molecular weight distribution using rheology, tube models for branched polymers, nonlinear viscoelasticity
, tube models for nonlinear viscoelasticity
and of linear and branched polymers, and challenges for the future.
Leblanc, University P&M Curie, France; "Change in filler network and nonlinear viscoelasticity
of filled rubbers in large shearing deformations," Y.
His contributions to the mechanics and thermodynamics of solid polymers can be divided into three areas: 1) nonlinear viscoelasticity
of solid polymers; 2) physical aging in glassy polymers and the impact of mechanical deformations on the glassy state; and 3) mechanical and swelling responses of crosslinked rubber.
Given the importance of the nonlinear viscoelasticity
, which very often can be studied in combination with viscoplasticity, both tasks have been the subject of a number of works [19-28].
(19) Mechanisms of nonlinear viscoelasticity
for filled elastomers and nano-filled polymer melts.
Researchers have investigated fundamental mechanisms of nonlinear viscoelasticity
in different regimes.
Thus, not only linear viscoelasticity but also nonlinear viscoelasticity
must be considered.
The damping function, h([gamma]), has been a concept introduced in rheology since more than 30 years ago, and its implementation in the modeling of polymer melts was an essential step forward in the classification and understanding of nonlinear viscoelasticity